Question

simplify the following

Answer 1

Solution:-

15.

$\frac{7 + \sqrt{5} }{3 + \sqrt{5} } - \frac{7 - 3 \sqrt{5} }{3 - \sqrt{5} } \\ \frac{21 + 3 \sqrt{5} - 7 \sqrt{5} - 5 - 21 + 9 { \sqrt{5} } + 7 \sqrt{5} + 15}{9 - 5} \\ \frac{12 \sqrt{5} + 10 }{4} \\ 8 \sqrt{5} + \frac{5}{2}$